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Finding the Fourth Proportional to 79,902.32, 110,218.64 and 51,211.76

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Solution

The fourth proportional to 79,902.32, 110,218.64 and 51,211.76 is: 70,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,902.32 : 110,218.64 = 51,211.76 : x
  2. Step 2: Convert to fraction form
    79,902.32/110,218.64 = 51,211.76/x
  3. Step 3: Cross multiply
    79,902.32x = 110,218.64 × 51,211.76
  4. Step 4: Simplify right side
    79,902.32x = 5,644,489,732.05
  5. Step 5: Solve for x
    x = 5,644,489,732.05/79,902.32
  6. Step 6: Final answer
    x = 70,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.